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Finding the Fourth Proportional to 10,902.32, 16,351.05 and 4,326.74

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Solution

The fourth proportional to 10,902.32, 16,351.05 and 4,326.74 is: 6,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.32 : 16,351.05 = 4,326.74 : x
  2. Step 2: Convert to fraction form
    10,902.32/16,351.05 = 4,326.74/x
  3. Step 3: Cross multiply
    10,902.32x = 16,351.05 × 4,326.74
  4. Step 4: Simplify right side
    10,902.32x = 70,746,782.95
  5. Step 5: Solve for x
    x = 70,746,782.95/10,902.32
  6. Step 6: Final answer
    x = 6,489.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.